Load libraries

In [1]:
import numpy as np
import pandas as pd
import re
from scipy import stats
from scipy.stats import boxcox
from scipy.special import inv_boxcox
import math
import matplotlib.pyplot as plt
from sklearn.linear_model import LinearRegression, ElasticNet, Ridge, Lasso, BayesianRidge, LassoLarsIC
from sklearn.ensemble import RandomForestRegressor as rfr,  GradientBoostingRegressor
from sklearn.kernel_ridge import KernelRidge
from sklearn.pipeline import make_pipeline
from sklearn.preprocessing import RobustScaler
from sklearn.base import BaseEstimator, TransformerMixin, RegressorMixin, clone
from sklearn.model_selection import KFold, cross_val_score, train_test_split
from sklearn.metrics import mean_squared_error, SCORERS

import lightgbm as lgb
import xgboost as xgb
from catboost import CatBoostRegressor


%matplotlib inline
plt.style.use('ggplot')
from IPython.display import display
display.max_columns = None
display.max_rows = None
/Users/melaniezheng/opt/anaconda3/lib/python3.7/site-packages/lightgbm/__init__.py:48: UserWarning: Starting from version 2.2.1, the library file in distribution wheels for macOS is built by the Apple Clang (Xcode_8.3.3) compiler.
This means that in case of installing LightGBM from PyPI via the ``pip install lightgbm`` command, you don't need to install the gcc compiler anymore.
Instead of that, you need to install the OpenMP library, which is required for running LightGBM on the system with the Apple Clang compiler.
You can install the OpenMP library by the following command: ``brew install libomp``.
  "You can install the OpenMP library by the following command: ``brew install libomp``.", UserWarning)

Load Data

In [2]:
train = pd.read_csv('../data/train_processed.csv')
test_raw = pd.read_csv('../data/test.csv')
train_raw=pd.read_csv('../data/train.csv')
test = pd.read_csv('../data/test_processed.csv')
yt = stats.boxcox(train['SalePrice'], lmbda = 0.3) # Boxcox of SalePrice
act_pred = train['SalePrice']
X = train.drop(columns='SalePrice')
X = X.loc[:, X.columns!='HouseStyle_2.5Fin'] #HouseStyle_2.5Fin in training.csv but not in test.csv

Skewness (adjust Skewness of numeric columns)

  • Adjust features with skewness greater than 0.75
In [3]:
numeric=X.loc[:, X.columns != 'IsPool']
numeric = numeric.loc[:, numeric.columns !='IsGarage']
numerical = numeric.dtypes[:27].index.to_list()
skewed = X[numerical].apply(lambda x: x.skew()).sort_values()
skewdf = pd.DataFrame({'Skew': skewed})
skewdf = skewdf[(skewdf)>0.75]
from scipy.special import boxcox1p
skewed = skewdf.index
lam = 0.15
for feat in skewed:
    X[feat] = boxcox1p(X[feat], lam)
    test[feat] = boxcox1p(test[feat], lam)
# newskewed = X[numerical].apply(lambda x: x.skew()).sort_values()

Evaluate Models

In [4]:
### This function returns Root Mean Squared Error for 5 fold cross validation tests.
### To compare side by side with Kaggle score.
def cv_rmse(model, X=X, yt=yt):
    y=train['SalePrice']
    kfold = KFold(n_splits=5, shuffle=True, random_state=1)
    RMSE_list=[]
    for train_id, holdout_id in kfold.split(X, yt):
        instance = clone(model)
        instance.fit(X.iloc[train_id], yt[train_id])
        y_pred = instance.predict(X.iloc[holdout_id])
        y_pred = inv_boxcox(y_pred, 0.3)
        y_mean=np.mean(y[holdout_id])
        RSE=np.sum((np.log(y_pred)-np.log(y[holdout_id]))**2)
        MSE=RSE/len(holdout_id)
        RMSE=np.sqrt(MSE)
        RMSE_list.append(RMSE)
    return RMSE_list

Train Test Split

In [5]:
x_tr, x_val, y_tr, y_val = train_test_split(X, yt, test_size=0.2, random_state=1)

Model 1: Ridge

In [6]:
ridge = Ridge(normalize=True, alpha=0.049090909090909095)
In [7]:
print(f"{np.mean(cv_rmse(ridge))} & {np.std(cv_rmse(ridge))}")
0.11739002014532281 & 0.010631679159506977

Model 2: Lasso

In [8]:
lasso = Lasso(normalize=True, alpha=0.002454545454545455)
In [9]:
np.mean(cv_rmse(lasso))
Out[9]:
0.1141366509262538

Model 3: Elastic Net

(This is essentially the same as Lasso)

In [10]:
net = ElasticNet(alpha=0.002454545454545455, l1_ratio=1.0)
In [11]:
np.mean(cv_rmse(net))
Out[11]:
0.11800127938130314

Model 4: CatBoost

In [12]:
catB = CatBoostRegressor(iterations=3000)
In [13]:
np.mean(cv_rmse(catB))
Learning rate set to 0.017396
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2999:	learn: 0.8644200	total: 9.12s	remaining: 0us
Out[13]:
0.11678353034175341

Model 5: Gradient Boosting

In [14]:
gb = GradientBoostingRegressor(n_estimators = 4650, learning_rate = 0.04,
                                   max_depth = 2, max_features = 'sqrt',
                                   min_samples_leaf = 4, min_samples_split = 34, 
                                   loss = 'huber', random_state = 1)
Out[14]:
0.11426536361076811
In [15]:
np.mean(cv_rmse(gb))
Out[15]:
0.11426536361076811

Model 5: XGBoost

In [16]:
xgboost = xgb.XGBRegressor(
    learning_rate =0.0492,
    n_estimators=2000,
    max_depth=2,
    min_child_weight=4,
    gamma=1.5789473684210527,
    subsample=0.8125,
    colsample_bytree=0.35486333333333336,
    random_state = 1,
    objective = "reg:squarederror")
In [17]:
np.mean(cv_rmse(xgboost))
Out[17]:
0.11853573881625416

LightGBM

In [21]:
lightGBM = lgb.LGBMRegressor(objective = 'regression',
                         num_leaves = 5,
                         learning_rate = 0.05,
                         n_estimators = 1620,
                         max_bin = 55,
                         bagging_fraction = 0.889,
                         bagging_freq = 7,
                         feature_fraction = 0.23157894736842105,
                         feature_fraction_seed = 9,
                         bagging_seed = 9,
                         random_state = 1,
                         min_data_in_leaf = 7,
                         min_sum_hessian_in_leaf = 7)
In [22]:
np.mean(cv_rmse(lightGBM))
Out[22]:
0.11855162941130626

Model Emsembling

Simple Averaging Model

In [23]:
class AveragingModels(BaseEstimator, RegressorMixin, TransformerMixin):
    def __init__(self, models):
        self.models = models
        
    # we define clones of the original models to fit the data in
    def fit(self, X, y):
        self.models_ = [clone(x) for x in self.models]
        
        # Train cloned base models
        for model in self.models_:
            model.fit(X, y)

        return self
    
    #Now we do the predictions for cloned models and average them
    def predict(self, X):
        predictions = np.column_stack([
            model.predict(X) for model in self.models_
        ])
        return np.mean(predictions, axis=1)   
In [24]:
simple_stack_model = AveragingModels(models = (lasso, net, catB, gb, xgboost, lightGBM))
np.mean(cv_rmse(simple_stack_model))
Learning rate set to 0.017396
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Out[24]:
0.11090189360842054
In [25]:
simple_stack_model.fit(x_tr,y_tr)
prediction=simple_stack_model.predict(test)
prediction=inv_boxcox(prediction, 0.3)
pred = pd.DataFrame(prediction, columns=['SalePrice'])
ID = test_raw[['Id']]
sub=pd.merge(ID, pred, left_on = ID.index, right_on = pred.index).drop(columns=['key_0'])
sub.to_csv('../Submissions/submission_simpleStacked.csv',index=False)
prediction
Learning rate set to 0.017396
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Out[25]:
array([126233.75174887, 161549.71421658, 187208.5610083 , ...,
       164547.52540017, 123768.87787767, 206341.25838902])

Stacked (meta_model=lasso)

In [26]:
class StackingAveragedModels(BaseEstimator, RegressorMixin, TransformerMixin):
    def __init__(self, base_models, meta_model, n_folds=5):
        self.base_models = base_models
        self.meta_model = meta_model
        self.n_folds = n_folds
   
    # We again fit the data on clones of the original base models
    # We need the clone because we do not want to 
    # continuously fit and overwrite the original base models.
    def fit(self, X, yt):
        self.base_models_ = [list() for x in self.base_models]
        self.meta_model_ = clone(self.meta_model)
        kfold = KFold(n_splits=self.n_folds, shuffle=True, random_state=1)
        # Train cloned base models then create out-of-fold predictions
        # that are needed to train the cloned meta-model.
        outoffold_pred = np.zeros((X.shape[0], len(self.base_models)))
        for i, model in enumerate(self.base_models):
            for train_id, holdout_id in kfold.split(X, yt):
                instance = clone(model)
                self.base_models_[i].append(instance)
                instance.fit(X.iloc[train_id], yt[train_id])
                y_pred = instance.predict(X.iloc[holdout_id])
                outoffold_pred[holdout_id, i] = y_pred  
        # Now train the cloned  meta-model using the out-of-fold predictions as new feature
        self.meta_model_.fit(outoffold_pred, yt)
        print(self.meta_model_.coef_)
        return self
   
    #Do the predictions of all base models on the test data and use the averaged predictions as 
    #meta-features for the final prediction which is done by the meta-model
    def predict(self, X):
        meta_features = np.column_stack([
            np.column_stack([model.predict(X) for model in base_models]).mean(axis=1)
            for base_models in self.base_models_ ])
        return self.meta_model_.predict(meta_features)
In [27]:
stacked_models = StackingAveragedModels(base_models = (lasso, net, gb, catB, xgboost),
                                                 meta_model = Lasso())
score = cv_rmse(stacked_models)
print(f"Stacked model RMSE Score: {np.mean(score)}")
# lasso, net, gb, xgboost, lightGBM - 0.10995646549877361
# ridge, lasso, net, gb, lightGBM - 0.1098998248584195
# stacked 1: ridge, lasso, net, gb, catB, xgboost - 0.10959475310991433
# stacked 2: lasso, net, gb, catB, xgboost - 0.10958984127519941
Learning rate set to 0.016718
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[0.46445391 0.02079467 0.18964714 0.15241642 0.18841364]
Learning rate set to 0.016718
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[0.49350062 0.         0.31623605 0.09039276 0.10841817]
/Users/melaniezheng/opt/anaconda3/lib/python3.7/site-packages/sklearn/linear_model/_coordinate_descent.py:476: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations. Duality gap: 42.5767608294027, tolerance: 20.883572930675328
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[0.43803538 0.         0.27589422 0.30558166 0.        ]
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[0.43241876 0.         0.1339597  0.45330905 0.        ]
Stacked model RMSE Score: 0.11019017682052105
In [28]:
stacked_models.fit(X, yt)
stacked_train_pred = stacked_models.predict(X)
stacked_pred = stacked_models.predict(test)
stacked_pred=inv_boxcox(stacked_pred, 0.3)
pred = pd.DataFrame(stacked_pred, columns=['SalePrice'])
ID = test_raw[['Id']]
sub1=pd.merge(ID, pred, left_on = ID.index, right_on = pred.index).drop(columns=['key_0'])
sub1.to_csv('../Submissions/pred_stacked_2.csv',index=False)
stacked_pred
Learning rate set to 0.017396
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[0.43778175 0.         0.43690123 0.14315488 0.        ]
Out[28]:
array([124107.31663452, 158991.50762493, 189283.47607376, ...,
       169116.16339938, 124650.11429528, 211472.600603  ])
In [29]:
lightgbm=pd.read_csv('../Submissions/pred_lightgbm.csv')
stacked2=pd.read_csv('../Submissions/pred_stacked_2.csv')
prediction=0.7*stacked2.SalePrice+0.3*lightgbm.SalePrice
pred = pd.DataFrame(prediction, columns=['SalePrice'])
ID = test_raw[['Id']]
sub1=pd.merge(ID, pred, left_on = ID.index, right_on = pred.index).drop(columns=['key_0'])
sub1.to_csv('../Submissions/pred_final_prediction1.csv',index=False)
In [ ]: